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arXiv:2302.04037 [math.NT]AbstractReferencesReviewsResources

Prime numbers as a uniqueness set of the parallelogram equation via the Goldbach's conjecture

Hee Chul Pak, Dongseung Kang

Published 2023-02-08Version 1

Multiplicative arithmetic functions satisfying the parallelogram functional equation on prime numbers are investigated. It is derived that the unique non-trivial solution is a quadratic function by the Goldbach's conjecture.

Comments: 7 pages
Categories: math.NT
Subjects: 11A25, 11A41, 11N05, 11P32
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